Exam 19: The Kinetic Theory of Gases

The average speeds v and molecular diameters d of five ideal gases are given below.The number of molecules per unit volume is the same for all of them.For which is the collision rate the greatest?

Three gases, one consisting of monatomic molecules, the second consisting of diatomic molecules, and the third consisting of polyatomic molecules, are in thermal equilibrium with each other and remain in thermal equilibrium as the temperature is raised.All have the same number of molecules.The gases with the least and greatest internal energy are respectively:

An ideal gas has molar specific heat C_p at constant pressure.When the temperature of n moles is increased by $\Delta$ T the increase in the internal energy is:

When work W is done on an ideal gas of N diatomic molecules in thermal isolation the temperature increases by:

In an adiabatic contraction,

An ideal gas occupies 12 liters at 293 K and 1 atm (76 cm Hg).Its temperature is now raised to 373 K and its pressure increased to 215 cm Hg.The new volume is:

When work W is done on an ideal gas of diatomic molecules in thermal isolation the increase in the total rotational energy of the molecules is:

The number of degrees of freedom of a rigid diatomic molecule is:

For a gas at thermal equilibrium the average speed v, the most probable speed v_p, and the root-mean-square speed v_rms are in the order:

The mass of an oxygen molecule is 16 times that of a hydrogen molecule.At room temperature, the ratio of the rms speed of an oxygen molecule to that of a hydrogen molecule is:

The heat capacity at constant volume of an ideal gas depends on:

A real gas undergoes a process which can be represented as a curve on a p-V diagram.The work done by the gas during this process is:

It is known that 28 grams of a certain ideal gas occupy 22.4 liters at standard conditions (0°C, 1 atm).The volume occupied by 42 grams of this gas at standard conditions is:

According to the Maxwellian speed distribution, as the temperature increases the average speed:

Assume that helium behaves as an ideal monatomic gas.If 2 moles of helium undergo a temperature increase of 100 K at constant volume, how much work is done by the gas?

If a gas expands freely into a vacuum,

The mean free path of molecules in a gas is:

The mean free path of air molecules at room temperature and atmospheric pressure is about:

According to the Maxwellian speed distribution, as the temperature increases the most probable speed:

A quantity of an ideal gas is compressed to half its initial volume.The process may be adiabatic, isothermal or occurring at constant pressure.Rank those three processes in order of the work required of an external agent, least to greatest.